🪴 Quartz 4.0

memorandum

Sep 08, 20224 min read

  • Infer information that cannot be observed only by you from the behavior of others game. - Similar to [coyote (carnivore, Canis latrans)
  • There are one 1 to seven 7s.
  • It depends on the number of players, but for 4 players, 5 cards in hand, 4 cards in the field, and 4 cards face down.
  • Only you can’t see the cards in your hand.
  • Declare one number each turn.
  • If the declared number is in your hand, it opens one card. https://boku-boardgame.net/domemo

When fighting a typical person, it is possible to have a better chance of winning if you play ignoring everything (except level 1) rather than trying to guess from the opponent’s behavior.

  • Unless you take notes, which I don’t do in the basic playstyle of this game, you’re going to have to rely on your memory of flesh and blood.
  • Using information from someone else’s point of view is computationally complex.
  • High risk of confusion trying to do something complicated.

Level 1 play briefly explained

  • First check the frequency of the numbers on the field to see how many you don’t see.
    • It’s seven numbers, so think of it as a phone number and you should be able to remember it.
    • The higher this number, the more likely it is to exist in your hand.
    • in order of precedence
      • If any, reduce by 1
      • If no, set to 0
  • The frequency of being on the field can be restored by re-counting, even if it is forgotten.
    • It is necessary to memorize the information about which number you said was the wrong number, because it is not left in the field.

Level 2 Play

  • Use information from other people’s perspectives

    • After doing the first frequency count on level 1
    • For example, if the number of 1’s left from your point of view is 1 and someone else says “1” and it is a hash.
      • If the number of 1’s remaining is not 0 in the eyes of others, then there is no 1 in your hand.
      • That is, the number of 1’s left.
    • As for 1, it’s obvious, but as for 4-7, you need to discount the information because you don’t know if your opponent is playing level 1 properly or if he’s just confused and saying random things.
      • If your opponent is playing level 1, for example, if you have two 7s left and one 6, and he chooses a 6, the probability that you have a 7 in your hand that he can see increases, but most people are not that reliable.

  • Decent level 2 play

    • At the start, if you have 4 face-down cards and 5 cards in your hand, you have street possibilities.
      • It can be smaller than this because of overlapping numbers.
    • At first, all of those possibilities are equally probable.
    • If the opponent says “1” (a), the probability is reduced by the inference that “the probability of doing that in case x would be low” for “event x in which your hand contains 1”.
    • In this way, the conditional probability conditional on all observations is updated for each additional observation.
    • As for your own hand, just ask for the probability of the existence of 7 different numbers and say the one with the highest probability.

  • Programmatically, it’s easy, but a flesh-and-blood human being would have difficulty holding 128 values in memory and multiplying each one. Domemo

This page is auto-translated from /nishio/ドメモ using DeepL. If you looks something interesting but the auto-translated English is not good enough to understand it, feel free to let me know at @nishio_en. I’m very happy to spread my thought to non-Japanese readers.

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